ABSTRACT AND APPLIED ANALYSIS 是一本专门致力于发表抽象和应用分析领域的高质量研究论文的数学期刊。重点放在经典分析、线性和非线性泛函分析、常微分方程和偏微分方程、优化理论和控制理论方面的重要发展。摘要和应用分析支持出版涉及上述学科重大问题的完整解决方案的原始材料。摘要和应用分析还鼓励就分析理论和应用的当前趋势发表及时而全面的调查文章。

Abstract and Applied Analysis is a mathematical journal dedicated to publishing high-quality research papers in the field of abstract and applied analysis. The journal focuses on significant developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original materials that provide comprehensive solutions to major problems in these disciplines. Additionally, the journal encourages timely and comprehensive survey articles on current trends in analysis theory and applications.

《Abstract and Applied Analysis》是一本专注于发表抽象与应用分析领域高质量研究论文的数学期刊。期刊重点关注经典分析、线性与非线性泛函分析、常微分方程与偏微分方程、优化理论及控制理论等领域的重要发展。《Abstract and Applied Analysis》支持发表涉及上述学科重大问题的完整解决方案的原创研究材料。同时，期刊也鼓励发表关于分析理论与应用当前趋势的及时而全面的综述文章。

Abstract and Applied Analysis

The paper proposes a viscosity approximation algorithm for approximating fixed points. The study in this paper demonstrates that without having the prior estimations of operator norm and semicompactness of one‐parameter semigroups of nonexpansive mappings, the algorithm converges strongly to the solution of split equality generalized mixed equilibrium problem (SEGMEP). MSC2010 Classification: Primary 47H10, 47H09, 47J05, 47J25, 54H25

Prashant Patel

Rahul Shukla

Viscosity Approximation for Split Equality Generalized Mixed Equilibrium Problems With Semigroups of Nonexpansive Mappings

分裂等式广义混合均衡问题的粘性逼近与非扩张映射半群

In the paper, we give several limit case Euler–Abel type transforms for alternating cosine and sine series. Making use of a property of the operator of generalized difference, applied in the transforms, we give transforms for nonalternating series, which are stronger than similar transforms for alternating series given earlier. MSC2020 Classification: Primary 65B10, Secondary 42A38, 40A25, 40A05

N. Sh. Berisha

F. M. Berisha

M. Sadiku

On an Euler–Abel Type Transform of Trigonometric Series

关于三角级数的欧拉-阿贝尔型变换

This paper presents a compartmental model in ordinary differential equations of tuberculosis (TB) disease dynamics in a prison population, which is calibrated to reflect the unique conditions of the Democratic Republic of Congo. Data are sourced from various sources of statistics that are publicly available and also from other modeling publications. The model is utilized to determine the optimal roll‐out strategy for a combination of intervention strategies in TB control in a prison population. The two control functions both address treatment but are linked to different infection classes, making them distinct functions of time. Numerical simulations reveal that without well‐planned control measures, TB remains endemic. However, optimal control strategies can potentially eliminate the disease, provided the influx of TB‐infected prisoners is controlled. Implementing these strategies can significantly reduce the number of infectious TB cases while minimizing treatment costs. MSC2020 Classification: 92D30, 34K20

Sibaliwe Maku Vyambwera

Peter Witbooi

Optimal Intervention Strategies on TB Epidemiology in a Prison Population

监狱人群中结核病流行学的最优干预策略

In this article, the solutions of Bessel’s differential equations (DEs) by variable change method are formulated. To do so, we have considered the first and second kind of Bessel’s functions which are obtained as solutions of Bessel’s equations and it is used to determine the solutions of the lengthening pendulum (LP). To solve the given equations, we have used Frobenius theorem and the gamma function and hence, apply the obtained results to solve the LP. The finding reveals that Bessel’s functions establish the solutions of LP equations. The solutions obtained for lengthening the pendulum are illustrated graphically using the computer software of MathLab. The graphical results show that the sinusoidal wave natures are compressed or extended based on the chosen parameter k . Finally, it is concluded that the obtained method gives an effective, efficient, and systematic method.

Beyalfew Anley

Daba Meshesha Gusu

Tolosa Nigussie

Solutions of Bessel’s Differential Equations by Variable Change Method

变量变换法求解贝塞尔微分方程的解

The estimates were obtained for the number of solutions for the Neumann and Dirichlet boundary value problems associated with the Liénard equation with a quadratic dependence on the “velocity.” Sabatini’s transformation is used to reduce this equation to a conservative one, which does not contain the derivative of an unknown function. Despite the one-to-one correspondence between the equilibria, the topological structure of the phase portraits of both equations can differ significantly.

A. Kirichuka

F. Sadyrbaev

Boundary Value Problems for Liénard-Type Equations with Quadratic Dependence on the “Velocity”

具有“速度”二次依赖性的Liénard型方程的边值问题

In this paper, we use the fountain theorems to investigate a class of nonlinear Kirchhoff–Poisson type problem. When the nonlinearity <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>f</mml:mi></mml:math> satisfies the Ambrosetti–Rabinowitz’s 4-superlinearity condition, or under some weaker superlinearity condition, we establish two theorems concerning with the existence of infinitely many solutions.

Ziqi Deng

Xilin Dou

Multiplicity of Solutions for a Class of Kirchhoff–Poisson Type Problem

一类Kirchhoff-Poisson型问题的多解性

In this paper, under appropriate hypotheses, we have the existence of a solution semigroup of partial differential equations with delay operator. These equations are used to describe time–age-structured cell cycle model. We also prove that the solution semigroup is a frequently hypercyclic semigroup.

Cheng-Hung Hung

Frequently Hypercyclic Semigroup Generated by Some Partial Differential Equations with Delay Operator

由带延迟算子的某些偏微分方程生成的频繁超循环半群

This article deals with a classes of singular integral–differential equations with convolution kernel and reflection. By means of the theory of boundary value problems of analytic functions and the theory of Fourier analysis, such equations can be transformed into Riemann boundary value problems (i.e., Riemann–Hilbert problems) with nodes and reflection. For such problems, we propose a novel method different from classical one, by which the explicit solutions and the conditions of solvability are obtained.

A. S. Nagdy

KH. M. Hashem

H. E. H. Ebrahim

The Solvability and Explicit Solutions of Singular Integral–Differential Equations with Reflection

具有反射的奇异积分-微分方程的可解性与显式解

This study presents families of the fourth-order Runge–Kutta methods for solving a quadratic Riccati differential equation. From these families, the England version is more efficient than other fourth-order Runge–Kutta methods and practically well-suited for solving initial value problems in general and quadratic Riccati differential equation in particular. The stability analysis of the present method is well-established. In order to verify the accuracy, we compared the numerical solutions obtained using the England version of fourth-order Runge–Kutta method with the recently published works reported in the literature. Several counter examples are solved using the present methods to demonstrate their reliability and efficiency.

Wendafrash Seyid Yirga

Fasika Wondimu Gelu

Wondwosen Gebeyaw Melesse

Gemechis File Duressa

Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation

求解二次Riccati微分方程的高效数值方法

In this paper, we propose an eco-epidemiological mathematical model in order to describe the effect of migration on the dynamics of a prey–predator population. The functional response of the predator is governed by the Holling type II function. First, from the perspective of mathematical results, we develop results concerning the existence, uniqueness, positivity, boundedness, and dissipativity of solutions. Besides, many thresholds have been computed and used to investigate the local and global stability results by using the Routh–Hurwitz criterion and Lyapunov principle, respectively. We have also established the appearance of limit cycles resulting from the Hopf bifurcation. Numerical simulations are performed to explore the effect of migration on the dynamic of prey and predator populations.

ISSN	1085-3375, 1687-0409
h-index	68

Publication Information	Publisher: Hindawi Publishing Corporation，Publishing cycle: Monthly，Journal Type: journal，Open Access Journals: Yes
Basic data	Year of publication: 2002，Proportion of original research papers: 0.00%，Self Citation Rate:N.A.， Gold OA Rate: 0.00%
Journal Fees	$1080Details
Average review cycle	网友分享经验：平均6.0个月
Average recruitment ratio	网友分享经验：容易

Abstract and Applied Analysis

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